One claims to be sensitive to the paranormal (7)
I believe the answer is:
psychic
'one claims to be sensitive to the paranormal' is the definition.
(I've seen this before)
This is all the clue.
(Other definitions for psychic that I've seen before include "One is apparently sensitive to things beyond normal perception" , "Having extrasensory perception or occult powers" , "Of the soul or mind, or kind of fortune-teller" , "Person with occult powers" , "Spiritualist medium" .)